The equation that can be used to find d, based on the options for the parts of the equation is; (4/5) × d = 260
What is an equation?An equation is a statement of equivalence between expressions.
The specified equation is; _ _ d = _
The distance of the first part of Alicia's trip = 260 miles
The part of the total distance traveled of the trip represented by the first part of Alicia's trip = 4/5
The total length of Alicia's trip = d
An equation that can be used to find the total length of Alicia's trip therefore is; (4/5) × d = 260
The total distance traveled, d, can be obtained from the above equation when d is made the subject of the equation as follows;
(4/5) × d = 260
d = 260/(4/5) = 260 × 5/4 = 325
The total distance Alicia traveled, d = 325 miles
The correct equation is therefore; (4/5) × d = 260
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The power company routes its lines as shown in the illustration. How much wire ( in yards) could be saved by going directly from A to E? yd
To solve this question we will use the following diagram:
Using the Pythagorean theorem for triangle AEO we get:
\(AE^2=AO^2+EO^2\text{.}\)Substituting AO=68 yd, and EO=285 yd we get:
\(\begin{gathered} AE^2=(68yd)^2+(285yd)^2, \\ AE^2=4624yd^2+84225yd^2, \\ AE^2=85849yd^2, \\ AE^2=293^2yd^2\text{.} \end{gathered}\)Therefore AE=293 yd. Now, the wire required for the long path is:
\(38yd+304yd+30yd+19yd=391yd\text{.}\)Therefore you could save:
\(391yd-293yd=98yd\)taking the short route.
Answer: 98yd.
Write the equation for the graph below:
See attached image.
The equation for the graph above is y = 5sin(2x/3).
What is a sine wave?In Mathematics and Geometry, a sine wave is sometimes referred to as a sinusoidal wave, or sinusoid and it can be defined as a fundamental waveform that is typically used for the representation of periodic oscillations, in which the amplitude of displacement at each interval is directly proportional to the sine of the displacement's phase angle.
Mathematically, a sine wave can be represented or modelled by this mathematical equation:
y = asin(bx)
Where:
a represents the amplitude of a sine wave. b represents the periodicity.Based on the graph of this sine wave, we have:
Amplitude, a = 5.
Periodicity, b = 2π/period = 2π/(3π) = 2/3
Therefore, the required sine wave function is given by;
y = asin(bx)
y = 5sin(2x/3)
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Math Homework please help!
Answer:
30....:)
Step-by-step explanation:
So looking at the graph. L to the midpoint of K is 15.
lets ignore N.
The graph has a line between k to the midpoint of L. So does L to the midpoint of k, which was 15.
This line means they are parrelel, so we can conlude that they both equal 15.
Adding the two together, we find KL is 30 in length.
The graph says KL is parrelel to JM.
So we can conclude that JM is 30.
That looks like D on your answer sheet
The only thing I am not sure of is what the N has to do with the answer.
They give you the value of N, and say the use N, however you do not need N to find the answer.
I think that the answer is 30, and it is included on the answer sheet as well. But fair warning that N did not have a use in it.
Hope this helps :)
How many solutions does the following equation have 3(X + 9) = 2x + 54
Answer:
One solution.
Step-by-step explanation:
3(x + 9) = 2x + 54
3x + 27 = 2x + 54
3x + 27 - 2x = 2x + 54 - 2x
x + 27 = 54
x + 27 - 27 = 54 - 27
x = 27
what is three quaters of 652
Answer:
The answer is 489
Answer:
four hundred eighty-nine
Step-by-step explanation:
I multiplied 3 quarters times 652
Which of the following graphs represents the equation y=3x+2?
Answer:graph C is the answer because if you put the both values from the graph it satisfies the equation
Answer:
Graph C
Step-by-step explanation:
The given equation is in the form y=mx+b
This is slope-intercept form.
This is where m represents the slope, and b represents the y-intercept.
Therefore, the slope is 3 and the y-intercept is 2.
Let's first name all the equations with a y-intercept of 2.
That would be B and C.
Now, let's find the equation with a slope of 3.
Let's find the slope for B.
The formula for slope is: y1-y2/x1-x2
A point is: (x coordinate, y coordinate)
In the formula,
y1 is the y coordinate of the first point
y2 is the y coordinate of the second point
x1 is the x coordinate of the first point
x2 is the x coordinate of the second point
This said, we can plug our points in.
6-2/2-0
4/2
2
The slope for Graph B is 2, so it is incorrect.
Let's find the slope for Graph C.
2-(-1)/0-(-1)
2+1/0+1
3/1
3
The slope for Graph C is 3, and it has a y-intercept of 2, so Graph C is the correct choice.
Learning Task 3 Answer the questions that follow. Put a check mark (/) on the space provided. Copy and answer in your math notebook. 1. The units for Volume are always ______squared _____cubed 2. Volume is the amount of space an object takes up. ___True ___False Calculate for the volume of solid. 3. Chona is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 4. A 3-tier cake with the same height of 10 in and radius of 12 in, 8 in, 5 in respectively is to be delivered to a birthday party. How much space does this cake take up? Use 3.14 for π. 5. A Styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.
3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.
4. The cake takes up approximately 7317 cubic inches of space.
5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.
1. The units for Volume are always cubed.
2. Volume is the amount of space an object takes up. True.
3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:
V = 3.14 * (4.5)^2 * 32
V = 3.14 * 20.25 * 32
V ≈ 2034.72 cubic inches
4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.
Tier 1:
V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches
Tier 2:
V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches
Tier 3:
V3 = 3.14 * (5)^2 * 10 = 785 cubic inches
Total volume:
Total V = V1 + V2 + V3
Total V = 4521.6 + 2010.4 + 785
Total V ≈ 7317 cubic inches
5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:
V = (1/3) * 3.14 * (24)^2 * 12
V = (1/3) * 3.14 * 576 * 12
V ≈ 7234.08 cubic centimeters
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Solve:(6x^2+5x+1)÷(x+2)
Answer:
6x+6x2+3
Step-by-step explanation:
6x2+5x+1+x+2
Combine 5x and x to get 6x.
6x2+6x+1+2
Add 1 and 2 to get 3.
6x2+6x+3
given (3.8) and (4.7) use fomula of m=y2-y1 x2-x1
Answer:
slope=m=-1
Step-by-step explanation:
slope formula, m=y2-y1/x2-x1
m=7-8/4-3= -1/1
m=-1
The volume of a cylinder is 8478 cubic inches and the radius is 15 inches which measurement is closest to the height of the cylinder
in inches
Answer:
90 inches
Step-by-step explanation:
hope it may help u I am sure about the ans
if possible mark me brainlist
Select five numbers that have 2, 5, and 11 as prime factors.
А
220
B
550
С
190
D
1,045
E
440
F
330
G
110
H
418
220, 550, 440, 330, 100 are the five numbers that have 2, 5, and 11 as prime factors. Hence, options (A), (B), (E), (F), (G) are correct.
What is prime factor?Prime factor is a constituent that is a prime number, in other words, any prime number that can be multiplied to get the original number.
Example: The first two components of 15 are three and five.
The given numbers can be written as:
the prime factor of 220 = 2 × 2 × 5 × 11
the prime factor of 550 = 5 × 2 × 5 × 11
the prime factor of 190 = 2 ×5 × 19
the prime factor of 1045 = 5 × 11 × 19
the prime factor of 330 = 3 × 2 × 5 × 11
the prime factor of 110 = 2 × 5 × 11
Hence, 220, 550, 440, 330, 100 are the five numbers that have 2, 5, and 11 as prime factors.
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Do. -1° of Z is
A (1, -1)
B (-1, 1)
C (-3/2, 1)
graph h(x)=(x-1)^2-9
The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.
The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.
The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.
The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).
Based on this information, we can draw the following conclusions:
The graph will be a U-shaped curve with the vertex at (1, -9).
The vertex represents the minimum point of the parabola since it opens upward.
The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.
The graph will extend indefinitely in both directions.
To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.
Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.
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..............................................................
Answer:
What's your question...
Answer:
thanks for the points my guy
Step-by-step explanation:
69
% of
102.16
m
Give your answer rounded to 2 DP.
Answer:
70.5m
Step-by-step explanation:
Hope this helps.
69% of 102.16 = 70.49
Mark as brainliest please :)
what is the product of three and ten radical 28 in simplest radical form?
Answer:
The product of 3 and 10√28, in its simplest radical form is: 60√7.
Step-by-step explanation:
hope it helps
Help please, i'm struggling
Answer:
Step-by-step explanation: 1, because you can subtract both equations to eliminate y, and you will be left with only x.
lve for m.
-3 + m
9 = 10
A.
-30
B.
63
C.
87
D.
93
The value of m that satisfies the equation -3 + m = 9 is m = 12.
To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.
-3 + m = 9
To move -3 to the other side, we can add 3 to both sides of the equation:
-3 + 3 + m = 9 + 3
Simplifying, we have:
m = 12
Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.
None of the provided answer options (A, B, C, D) match the correct solution.
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4. Each set of data was collected from surveys to answer statistical questions. Select all of the data sets that represent numerical data. a. (1, 1.2, 1.4, 1.4, 1.5, 1.6, 1.8, 1.9, 2, 2, 2.1, 2.5) b. (Red, Red, Yellow, Yellow, Blue, Blue, Blue) c. {45, 60, 60, 70, 75, 80, 85, 90, 90, 100, 100, 100) d. (-7, -5, -3,-1,-1,-1,0} e. 98.2, 98.4, 98.4.98.6, 98.6, 98.6, 98.6, 98.7, 98.8, 98.8) f. (Yes, Yes, Yes, Yes, Maybe, Maybe, No, No, No} g. {A, A, A, B, B, B, C, C, C]
Answer:
Options (A), (C), (D) and (E).
Step-by-step explanation:
There are two types of sets in the given options.
1). Numerical data - Data which shows the numeral values or the numbers which tells the exact meaning of quantities like length, width or height.
2). Categorical data - Data which has no numeral values or no logical order.
Therefore, sets which show the numerical data are,
Option (A)
Option (C)
Option (D)
Option (E)
Answer:
A, C, D, E
Step-by-step explanation:
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A toy rocket is shot vertically into the air from a launching pad 8 feet above the ground with an initial velocity of 72 feet per
second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function
h(t) = - 1612 + 72t + 8. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at second(s) after launch.
(Simplify your answer.)
The maximum height reached by the object is feet.
(Simplify your answer.)
Answer:
1845 totaly i help yo to up grade
Step-by-step explanation:
im help :)
miguel is posting photos on school website hi has 48 photos and he followed 12 pages he whant to put the same number put of photos ,p, on each page
Answer:
4
Step-by-step explanation:
48/12=4
Answer:
12p = 48
Step-by-step explanation:
We already know Miguel has 48 photos already selected, with 12 pages to chose from. Since we want to figure out an equation for the number of photos Miguel is going to put on each page, you would have to do this: we do know the number of pages Miguel has but we don't know how many photos per page. So, you would write 12p for the unknown number of photos per page. Since he already has 48 photos and the 48 will not be affected during this equation, the answer to the equation would equal 48. So, the final answer would be 12p = 48
What would the height need to be for this curve to be a density curve?
1/5
1/4
1/2
1
For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.
Let's see how the height would need to be for this curve to be a density curve.A density curve is a statistical representation of the distribution of a dataset or population. Density curves are used to describe the distribution of continuous data and provide a visual representation of the likelihood of an event occurring within a specific range of values. It helps to determine the proportion of data that falls within a given range of values. A density curve is used to provide a graphical representation of data without showing the individual data points.To be a density curve, a curve must have the following properties:The curve should be non-negative.The area under the curve should be equal to 1.The curve should be smooth and continuous.There should be no values outside the range of the data.From the above properties, we can conclude that the height required for a curve to be a density curve depends on the data that the curve represents. As long as the curve meets the above conditions, it can be considered a density curve. So, there is no specific height required for a curve to be a density curve. The height of the curve can vary depending on the range of the data and the distribution of the data.For such more question on properties
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I want to know the exact height of the big column
Answer:
Height of the red bar is 8m
Write this ratio as a fraction in simplest form without any units. 20 quarts to 9 gallons
Answer:
20/9
Step-by-step explanation:
20 quarts : 9 gallons
20/9(1 is the HCF of both values)
20/9
Suppose we want to choose 5 colors, without replacement, from 16 distinct colors.
Complete question is;
Suppose we want to choose 5 colors, without replacement, from 16 distinct colors.
A) How many ways can this be done, if the order of the choices is taken into consideration?
B) How many ways can this be done, if the order of the choices is not taken into consideration?
Answer:
A) 524160 ways
B) 4368 ways
Step-by-step explanation:
A) If the order of choices is taken into consideration, then it is a Permutation problem.
Formula for Permutation is;
P(n, r) = n!/(n - r)!
In the question, n = 16 and r = 5
Thus;
P(16, 5) = 16!/(16 - 5)!
P(16, 5) = 524160
B) If the order of choices is not taken into consideration, then it becomes a Permutation problem.
Formula for Combination is;
C(n, r) = n!/((r! × (n - r)!)
C(16, 5) = 16!/((5! × (16 - 5)!)
C(16, 5) = 4368
I NEES HELP STATISTICS
B C A The following two-column proof with missing statement proves that the diagonals of the rectangle bisect each other Statement Reason ABCD is a rectangle Given AB and CD are parallel Definition of a Parallelogram AD and BC are parallel Definition ofa Parallelogram 2CADLACB Alternate interior angles theorem Definition of a Parallelogram Alternate interior angles theorem Angle-Side-Angle (ASA) Postulate CPCTC ADB 2CBD AADE ACBE BE DE AE CE CPCTC AC bisects BD Definition of a bisector Which statement can be used to fill in the blank space? (S points) Oa AB CD Ob BE AE BE CE Od BCAD
Answer: Given : A rectangle A B CD
To Prove: Diagonals of the rectangle bisect each other
Proof:
1. ABCD is a rectangle.
→AB ║CD→ Definition of a Parallelogram
→AD║BC→ Definition of a Parallelogram
⇒∠CAD ≅ ∠ACB →→[Alternate interior angles theorem]
⇒Line segment BC ≅ Line segment DA→→Definition of a Parallelogram
In Δ A DE and Δ C BE
AD=BC⇒Proved above
∠CAD=∠ACB ⇒Alternate interior angles theorem
∠ADB=∠CBE ⇒Alternate interior angles theorem
→→Δ A DE ≅ Δ C BE⇒Angle-Side-Angle (A S A) Postulate
BE=DE→→[C P CT ]
A E=CE→→[C P CT ]
⇒Line segment AC bisects Line segment B D⇒Definition of a bisector
Blank Space : Option A⇒∠ADB ≅ ∠CBD
An account manager for a local software firm believes there is a relationship between the number of contacts and the amount of the sales. To verify this belief, the following data was collected: Salesperson Number of Contacts Sales (in millions) 1 14 24 2 12 14 3 20 28 What is the dependent variable
Answer:
Amount of sales
Step-by-step explanation:
The dependent variable also called the measured or predicted variable is simply the variable obtained due to inputs in of the independent variable. It is the variable which is being measured in an experiment. Here, the test is that the number of sales depends on the number of contact. Here, the number of contacts will has an influence or determines the amount of sales, hence, the number of contacts is the independent variable while the amount of sales is the dependent variable.
Write down the augmented matrix corresponding to the system of equations shown below.
Note: Write an equation in each answer field and do not solve the system.
The augmented matrix corresponding to the system of equations in this problem is given as follows:
[-6 -5 -4 7].
[7 -9 -1 -7].
[-9 -3 -6 7].
How to construct the augmented matrix?The first row is constructed according to the coefficients of the first equation, hence it is given as follows:
[-6 -5 -4 7].
The second row is constructed according to the coefficients of the second equation, hence it is given as follows:
[7 -9 -1 -7].
The third row is constructed according to the coefficients of the third equation, hence it is given as follows:
[-9 -3 -6 7].
Hence the matrix is given as follows:
[-6 -5 -4 7].
[7 -9 -1 -7].
[-9 -3 -6 7].
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how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.